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Simplifying 2 + -1(3x + -17) = 5(x + -2) Reorder the terms: 2 + -1(-17 + 3x) = 5(x + -2) 2 + (-17 * -1 + 3x * -1) = 5(x + -2) 2 + (17 + -3x) = 5(x + -2) Combine like terms: 2 + 17 = 19 19 + -3x = 5(x + -2) Reorder the terms: 19 + -3x = 5(-2 + x) 19 + -3x = (-2 * 5 + x * 5) 19 + -3x = (-10 + 5x) Solving 19 + -3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + -3x + -5x = -10 + 5x + -5x Combine like terms: -3x + -5x = -8x 19 + -8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -8x = -10 + 0 19 + -8x = -10 Add '-19' to each side of the equation. 19 + -19 + -8x = -10 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = -10 + -19 -8x = -10 + -19 Combine like terms: -10 + -19 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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